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Simplifying 21 = 24 + -5(3 + -5w) 21 = 24 + (3 * -5 + -5w * -5) 21 = 24 + (-15 + 25w) Combine like terms: 24 + -15 = 9 21 = 9 + 25w Solving 21 = 9 + 25w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-25w' to each side of the equation. 21 + -25w = 9 + 25w + -25w Combine like terms: 25w + -25w = 0 21 + -25w = 9 + 0 21 + -25w = 9 Add '-21' to each side of the equation. 21 + -21 + -25w = 9 + -21 Combine like terms: 21 + -21 = 0 0 + -25w = 9 + -21 -25w = 9 + -21 Combine like terms: 9 + -21 = -12 -25w = -12 Divide each side by '-25'. w = 0.48 Simplifying w = 0.48
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